1a. A frictionless cart of mass Mc is seated on a flat frictionless track. The cart...
1a. A frictionless cart of mass Mc is seated on a flat frictionless track. The cart is attached by a string to a hanging mass mh. The cart, initially at rest, is pulled to the right by a wire with constant tension T, on a frictionless table. Draw the free-body diagram only for the cart.
b. Write newtons second law for the horizontal axis, for the cart of mass Mc.
c. draw the free-body diagram for the hanging mass mh only. Take the downward direction as positive.
d. Write down the expression for net force acting on the hanging mass.
e. How does the acceleration in situation a.b compare to the acceleration in 1.d? Justify your reasoning.
f. Combine the expressions in 1.b and 1.d to solve for the acceleration. Do you expect the acceleration to be equal to g(a=g), less (ag)? justify your reasoning.
Homework Answers
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1a. A frictionless cart of mass Mc is seated on a flat
frictionless track. The cart...
only do questions 1-3 please rt I: Measured Acceleration Mass of the cart: Mcart d scale...
only do questions 1-3 please
rt I: Measured Acceleration Mass of the cart: Mcart d scale to measure the mass of the cart (leave the scale where it is 2. Load the w Mass of the big bars placed on top of the cart Mban DATA TABLE 850 kg 0.501 te cart with 2 big bars. The mass of each bar is marked, read the value and record 8" 1000 Mass Net Foce Measured AccelerationCalculated Theoretical Acceleration (m/s' hanging %...
Cart on an Angled Track • A cart on a frictionless track is connected to a...
Cart on an Angled Track • A cart on a frictionless track is connected to a mass hanging over a pulley. The track is at an angle of 10 degrees. - The cart is released from rest: • Draw a FBD for each object • Sum the forces on each object. • Find an equation for the tension in the string • Find an equation for the acceleration Om
A clown of mass Mc= 100kg stands still at the far right end of a plank...
A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp= 60kg, and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank. a) Draw an "extended” free body diagram indicating where each of the forces...
A me=30-kg reel is mounted on top of a cart using a frictionless bearing at its...
A me=30-kg reel is mounted on top of a cart using a frictionless bearing at its shaft 0. The shaft is centered on the cart wheel base: H=400 mm, W=500 mm. The reel radius of gyration about the shaft through its mass center O is ko=250 mm. The cart's mass is me=40-kg with a center of gravity 80 mm above the base platform underneath 0. The cart rolls on idealized wheels whose dimensions are negligible. Starting from rest, the cable...
An object with mass m1 = 5.0 kg rests on a frictionless horizontal table and is...
An object with mass m1 = 5.0 kg rests on a frictionless horizontal table and is connected to a cable that passes over a frictionless pulley and is then fastened to a hanging object with mass m2 = 10.0 kg. (a) Draw the free body diagrams for both masses. (b) Determine the acceleration of m2 as it falls down. (c) Find the distance that m2 falls in the first two second after the objects are release from rest.
F 100 N 15kg 4. A block of mass m, 8.0 kg slides on a frictionless...
F 100 N 15kg 4. A block of mass m, 8.0 kg slides on a frictionless tabletop. It is connected to a string that passes over a pulley and suspends a mass m2 -12 kg. The system is released from rest. a) Draw a free-body diagram for each mass b) Write Newton's Second Law for each mass. c) Find tension and the acceleration of the masses?
Problem two: Cari won.no Track A frictionless cart of mass M is attached to a spring...
Problem two: Cari won.no Track A frictionless cart of mass M is attached to a spring with spring constant k. When the cart is displaced 6 centimeters from its rest Rest position position and released, il oscillates with a period of 2 seconds. Four students are discussing what would happen to the period of oscillation if the original cart with mass M was displaced 12 cm o O from its rest position instead of 6 cm and again released: Ava:...
A cart has a mass of 1.25 kg. When it is moving towards the sensor, it...
A cart has a mass of 1.25 kg. When it is moving towards the sensor, it has an acceleration of 0.65 m/s. After it turns around, it has an acceleration of 0.25 m/s? 4. a. Draw free body diagrams for the car as it moves toward the sensor and away from the sensor. TOWARDS AWAY Figure 6-18 Write Newton's Law for both situations and solve for both the force applied by the hanging mass and the frictional force (assume the...
When two objects of equal unequal mass are hung vertically over a frictionless pulley of negligible...
When two objects of equal unequal mass are hung vertically over a frictionless pulley of negligible mass, as in the figure below, the arrangement is called an Atwood machine. Assume that m_2 > m_1. (a) Draw the free body diagram for each mass. Indicate the direction of its acceleration off to the side. (b) Find an expression for the acceleration of the system. (c) Find an expression for the tension in the cord.
A light rope is attached to a block with mass 3.00 kg that rests on a...
A light rope is attached to a block with mass 3.00 kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, massless pulley, and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 15.3 N . part a) Draw free-body diagram for the 3.00-kg block. Assume block is moving to the right. Draw the vectors starting at a black dot. The location...
only do questions 1-3 please
rt I: Measured Acceleration Mass of the cart: Mcart d scale to measure the mass of the cart (leave the scale where it is 2. Load the w Mass of the big bars placed on top of the cart Mban DATA TABLE 850 kg 0.501 te cart with 2 big bars. The mass of each bar is marked, read the value and record 8" 1000 Mass Net Foce Measured AccelerationCalculated Theoretical Acceleration (m/s' hanging %...
Cart on an Angled Track • A cart on a frictionless track is connected to a mass hanging over a pulley. The track is at an angle of 10 degrees. - The cart is released from rest: • Draw a FBD for each object • Sum the forces on each object. • Find an equation for the tension in the string • Find an equation for the acceleration Om
A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp= 60kg, and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank. a) Draw an "extended” free body diagram indicating where each of the forces...
A me=30-kg reel is mounted on top of a cart using a frictionless bearing at its shaft 0. The shaft is centered on the cart wheel base: H=400 mm, W=500 mm. The reel radius of gyration about the shaft through its mass center O is ko=250 mm. The cart's mass is me=40-kg with a center of gravity 80 mm above the base platform underneath 0. The cart rolls on idealized wheels whose dimensions are negligible. Starting from rest, the cable...
F 100 N 15kg 4. A block of mass m, 8.0 kg slides on a frictionless tabletop. It is connected to a string that passes over a pulley and suspends a mass m2 -12 kg. The system is released from rest. a) Draw a free-body diagram for each mass b) Write Newton's Second Law for each mass. c) Find tension and the acceleration of the masses?
Problem two: Cari won.no Track A frictionless cart of mass M is attached to a spring with spring constant k. When the cart is displaced 6 centimeters from its rest Rest position position and released, il oscillates with a period of 2 seconds. Four students are discussing what would happen to the period of oscillation if the original cart with mass M was displaced 12 cm o O from its rest position instead of 6 cm and again released: Ava:...
A cart has a mass of 1.25 kg. When it is moving towards the sensor, it has an acceleration of 0.65 m/s. After it turns around, it has an acceleration of 0.25 m/s? 4. a. Draw free body diagrams for the car as it moves toward the sensor and away from the sensor. TOWARDS AWAY Figure 6-18 Write Newton's Law for both situations and solve for both the force applied by the hanging mass and the frictional force (assume the...
When two objects of equal unequal mass are hung vertically over a frictionless pulley of negligible mass, as in the figure below, the arrangement is called an Atwood machine. Assume that m_2 > m_1. (a) Draw the free body diagram for each mass. Indicate the direction of its acceleration off to the side. (b) Find an expression for the acceleration of the system. (c) Find an expression for the tension in the cord.
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